Question

9 yd.
7 yd.
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = yards

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( c \) is the hypotenuse, and \( a, b \) are the legs. Here, \( c = 9 \), \( b = 7 \), so \( a^2 = c^2 - b^2 \).
\( a^2 = 9^2 - 7^2 = 81 - 49 = 32 \)

Step2: Solve for \( a \)

Take the square root of 32: \( a = \sqrt{32} \approx 5.7 \) (rounded to nearest tenth)

Answer:

5.7